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Finding the Third Proportional to 221,656.50 and 459,078.75

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Solution

The third proportional to 221,656.50 and 459,078.75 is: 950,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,656.50 : 459,078.75 = 459,078.75 : x
  2. Step 2: Convert to fraction form
    221,656.50/459,078.75 = 459,078.75/x
  3. Step 3: Cross multiply
    221,656.50x = 459,078.75 × 459,078.75
  4. Step 4: Simplify right side
    221,656.50x = 210,753,298,701.56
  5. Step 5: Solve for x
    x = 210,753,298,701.56/221,656.50
  6. Step 6: Final answer
    x = 950,810.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.